A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.15sin(2.2x + 17.4t) The mass density of the rope is ? = 0.127 kg/m. x and y are measured in meters and t in seconds.
1. At x = 3.3 m and t = 0.42 s, what is the velocity of the rope? (watch your sign)
2. At x = 3.3 m and t = 0.42 s, what is the acceleration of the rope? (watch your sign)
3. What is the average speed of the rope during one complete oscillation of the rope?